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Finding the Third Proportional to 225,755 and 331,889

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Solution

The third proportional to 225,755 and 331,889 is: 487,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,755 : 331,889 = 331,889 : x
  2. Step 2: Convert to fraction form
    225,755/331,889 = 331,889/x
  3. Step 3: Cross multiply
    225,755x = 331,889 × 331,889
  4. Step 4: Simplify right side
    225,755x = 110,150,308,321
  5. Step 5: Solve for x
    x = 110,150,308,321/225,755
  6. Step 6: Final answer
    x = 487,919.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.